Unit Rate and Constant of Proportionality
Are they Proportional?
Writing Equations
Vocabulary
Mix it up
100
Sam sends 18 emails in 6 minutes. What is the unit rate of emails per minute
What is 3 emails per minute.
100
An ice cream shop charges $2 for 1 topping and $5 for 3 toppings. Is the price proportional to the number of toppings?
What is no
100
A flowers grows 4 inches per day. Write an equation to represent the relationship between amount of growth and number of days.
What is g = 4d
100
A __________ is a ratio of two quantities that have different units of measure.
What is a rate?
100
State the constant of proportionality. (18, 6) (15, 5) (12, 4) (9, 3) (6, 2) (3, 1)
What is 1/3
200
Toby can bake 24 cookies with 4 cookie trays and 54 cookies with 9 cookie trays. What is the constant of proportionality
What is 6
200
These are two requirements for a graph to represent a proportional relationship
What is straight line, through the origin
200
Ally buys three shirts for a total of $99. Write an equation to model the relationship between the cost and number of shirts bought.
y = 33x
200
A __________ is a ratio in which the second quantity in the comparison is 1 unit.
What is a unit rate?
200
Write an equation to represent the relationship. (1, 9) (2, 18) (3, 27) (4, 36) (5, 45)
What is y = 9x?
300
A graph consists of the points (3,2) and (9,6). What is the unit rate of the graph?
What is 2/3 (two-thirds)
300
A factory can produce 20 iphones in 60 minutes, 50 iphones in 150 minutes and 4 iphones in 12 minutes. Is this a proportional relationship?
What is yes, 1 phone takes 3 minutes.
300
Debbie charges $16 per hour to babysit. Write an equation to represent the total amount she will earn, d, after working a number of hours, h (You can use x and y if you prefer)
What is d = 16d
300
What is another word for the unit rate in a proportional relationship.
What is the constant of proportionality?
300
Write an equation for the proportional relationship. (1, 1.25) (2, 2.5) (3, 3.75) (4, 5) (5, 6.25)
What is y=1.25x?
400
A jeep can drive 192 miles on 6 gallons of gas, and 448 miles on 14 gallons of gas. Using the constant of proportionality, how many miles could he drive on 10 gallons of gas?
What is 320 miles
400
Trey is observing the growth of a sunflower. After 1 day its height was 2 inches, after 4 days the height was 10 inches, and after one week the height was 2 feet. Is height proportional to amount of days?
What is no
400
A great white shark can swim 110 yards in 5 minutes. Write an equation to represent this relationship. d = distance swam m = minutes (you can use x and y if you prefer)
What is d = 22m
400
What is the point (0,0) called?
What is the origin?
400
Identify the constant of proportionality for the relationship represented in the equation. y = 9/5x
What is 9/5?
500
Are they proportional? If so, what is the constant of proportionality? Y 8 10 12 X 2 5 3
What is they are not proportional, there is no constant of proportionality.
500
A 12 oz box of crackers is $2.08, while a 16 oz box costs $2.99. Is price proportional to size? If yes, what is the unit rate, if not, which is the better buy?
What is Not proportional, the 12 oz box is a better buy ($.17/oz)
500
Trevor is bringing some friends to the movies. He knows that he has to pay for a ticket for each person. With the following variables, write an equation to represent the number of friends he will bring to his total cost. f = number of friends c = total cost m = cost of a movie ticket p = cost of popcorn
What is c = m*f
500
What is a fraction with fractions in the numerator and/or denominator called?
What is a complex fraction?
500
An ice cream factory makes 170 quarts of ice cream in 5 hours. How many quarts could be made in 48 hours?
What is 1,635 qt?
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